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15233735140 = 2251358591289
BaseRepresentation
bin11100011000000000…
…00101100111100100
31110022122221221000121
432030000011213210
5222144314011030
610555343451324
71046335416661
oct161400054744
943278857017
1015233735140
116508056758
122b518b6b44
13158a0b5480
14a472a8a68
155e25d447a
hex38c0059e4

15233735140 has 24 divisors (see below), whose sum is σ = 34451678520. Its totient is φ = 5624763648.

The previous prime is 15233735137. The next prime is 15233735147. The reversal of 15233735140 is 4153733251.

It can be written as a sum of positive squares in 4 ways, for example, as 151930276 + 15081804864 = 12326^2 + 122808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 15233735096 and 15233735105.

It is not an unprimeable number, because it can be changed into a prime (15233735147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29295385 + ... + 29295904.

It is an arithmetic number, because the mean of its divisors is an integer number (1435486605).

Almost surely, 215233735140 is an apocalyptic number.

15233735140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15233735140 is an abundant number, since it is smaller than the sum of its proper divisors (19217943380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15233735140 is a wasteful number, since it uses less digits than its factorization.

15233735140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58591311 (or 58591309 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The spelling of 15233735140 in words is "fifteen billion, two hundred thirty-three million, seven hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 58591289 117182578 234365156 292956445 585912890 761686757 1171825780 1523373514 3046747028 3808433785 7616867570 15233735140